Statistical Science
See the document What is statistics? from the Statistical Consulting Centre at the University of Melbourne for examples of case studies, the issues requiring statistical insight and the types of things statisticians do.
For a more comprehensive overview of things statistical see the Statistical Science Web maintained by Gordon Smyth. This guide will lead you to information on careers, employers of statisticians, societies, conferences, statistics departments, mailing lists, courses, data sets, statistical computing, research funding, and a whole lot more.